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Finding the Fourth Proportional to 178,290.52, 246,030.24 and 97,702

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Solution

The fourth proportional to 178,290.52, 246,030.24 and 97,702 is: 134,822.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,290.52 : 246,030.24 = 97,702 : x
  2. Step 2: Convert to fraction form
    178,290.52/246,030.24 = 97,702/x
  3. Step 3: Cross multiply
    178,290.52x = 246,030.24 × 97,702
  4. Step 4: Simplify right side
    178,290.52x = 24,037,646,508.48
  5. Step 5: Solve for x
    x = 24,037,646,508.48/178,290.52
  6. Step 6: Final answer
    x = 134,822.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.